On quotients of Banach spaces having shrinking unconditional bases

Details On quotients of Banach spaces having shrinking unconditional bases On quotients of Banach spaces having shrinking unconditional bases

1990-11-16

arxiv.org/abs/math/9201219v1

Mathematics

Functional Analysis

Scientific paper

It is proved that if a Banach space $Y$ is a quotient of a Banach space
having a shrinking unconditional basis, then every normalized weakly null
sequence in $Y$ has an unconditional subsequence. The proof yields the
corollary that every quotient of Schreier's space is $c_o$-saturated.

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